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Finding the Fourth Proportional to 11,948.94, 16,486.98 and 8,121.90

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Solution

The fourth proportional to 11,948.94, 16,486.98 and 8,121.90 is: 11,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.94 : 16,486.98 = 8,121.90 : x
  2. Step 2: Convert to fraction form
    11,948.94/16,486.98 = 8,121.90/x
  3. Step 3: Cross multiply
    11,948.94x = 16,486.98 × 8,121.90
  4. Step 4: Simplify right side
    11,948.94x = 133,905,602.86
  5. Step 5: Solve for x
    x = 133,905,602.86/11,948.94
  6. Step 6: Final answer
    x = 11,206.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.